Regularity of the solution for a final value problem for the Rayleigh-Stokes equation

被引：23

作者：

Hoang Luc Nguyen ^{[1
,2
]}

Huy Tuan Nguyen ^{[3
]}

Zhou, Yong ^{[4
,5
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam

[2] VNUHCM Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City 700000, Vietnam

[4] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan, Hunan, Peoples R China

[5] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 10期

关键词：

final value problem; fractional Rayleigh-Stokes equation; regularity; SUBJECT;

D O I：

10.1002/mma.5593

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the backward problem of determining initial condition for Rayleigh-Stokes where the data are given at a fixed time. The problem has many applications in some non-Newtonian fluids. We give some regularity properties of the solution to backward problem.

引用

页码：3481 / 3495

页数：15

共 23 条

[1] Identification of source term for the Rayleigh-Stokes problem with Gaussian random noise [J].

Anh Triet Nguyen ;

Vu Cam Hoan Luu ;

Hoang Luc Nguyen ;

Huy Tuan Nguyen ;

Van Thinh Nguyen .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (14) :5593-5601

[2]

[Anonymous], 1990, FRACTIONAL DIFFERENT

[3] Fractional powers of sectorial operators via the Dirichlet-to-Neumann operator [J].

Arendt, W. ;

ter Elst, A. F. M. ;

Warma, M. .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2018, 43 (01) :1-24

[4] An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid [J].

Bazhlekova, Emilia ;

Jin, Bangti ;

Lazarov, Raytcho ;

Zhou, Zhi .

NUMERISCHE MATHEMATIK, 2015, 131 (01) :1-31

[5] Numerical simulation of multi-dimensional distributed-order generalized Schrodinger equations [J].

Bhrawy, A. H. ;

Zaky, M. A. .

NONLINEAR DYNAMICS, 2017, 89 (02) :1415-1432

[6] Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrodinger equations [J].

Bhrawy, A. H. ;

Zaky, M. A. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (06) :1100-1117

[7] An improved collocation method for multi-dimensional space-time variable-order fractional Schrodinger equations [J].

Bhrawy, A. H. ;

Zaky, M. A. .

APPLIED NUMERICAL MATHEMATICS, 2017, 111 :197-218

[8] Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation [J].

Bhrawy, A. H. ;

Zaky, M. A. .

NONLINEAR DYNAMICS, 2015, 80 (1-2) :101-116

[9] A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations [J].

Bhrawy, A. H. ;

Zaky, M. A. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 281 :876-895

[10] NONLINEAR STOCHASTIC TIME-FRACTIONAL DIFFUSION EQUATIONS ON R: MOMENTS, HOLDER REGULARITY AND INTERMITTENCY [J].

Chen, Le .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (12) :8497-8535

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